9917600 has 216 divisors, whose sum is σ = 32060448. Its totient is φ = 2956800.

The previous prime is 9917599. The next prime is 9917603. The reversal of 9917600 is 67199.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (9917603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431189 + ... + 431211.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^9917600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

9917600 is an abundant number, since it is smaller than the sum of its proper divisors (22142848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9917600 is a wasteful number, since it uses less digits than its factorization.

9917600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 9917600 is about 3149.2221261766. Note that the first 3 decimals coincide. The cubic root of 9917600 is about 214.8500847829.

It can be divided in two parts, 99 and 17600, that multiplied together give a square (1742400 = 1320²).

The spelling of 9917600 in words is "nine million, nine hundred seventeen thousand, six hundred".